Suppose that a and b are positive real numbers such that `log_(27)a+log_9(b)=7/2` and `log_(27)b+log_9a=2/3`.Then the value of the `ab` equals

Explanation

To solve the problem, we start with the given equations:

1. \( \log_{27} a + \log_9 b = \frac{7}{2} \)
2. \( \log_{27} b + \log_9 a = \frac{2}{3} \)

### Step 1: Rewrite the logarithms in terms of base 3

We know that:
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